Answer:
There are [tex]2.612388941\times10^{13}[/tex] ways for Sally to select her 12 pieces of taffy.
Step-by-step explanation:
The order that the candies are selected is not important. This means that the number of ways is a combination of 12 pieces from 75 varieties.
Combination Formula:
[tex]C_{n,x}[/tex] is the number of different combinatios of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, we have that:
[tex]C_{75,12} = \frac{75!}{12!(63)!} = 2.612388941\times10^{13}[/tex]
There are [tex]2.612388941\times10^{13}[/tex] ways for Sally to select her 12 pieces of taffy.
